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钱玲,周佳,陈良云.Jordan李代数的Engel定理及其应用[J].数学年刊A辑,2012,33(5):517~526
Jordan李代数的Engel定理及其应用
Engel’s Theorem of Jordan Lie Algebra and Its Applications
DOI:
中文关键词
:
Jordan李代数
Engel定理
Cartan子代数
幂零性
英文关键词
:
Jordan Lie algebra, Engel’s theorem, Cartan subalgebra, Nilpotent
基金项目
:
国家自然科学基金(No11171055);吉林省自然科学基金(No201115006)资助的项目
Author Name
Affiliation
E-mail
QIAN Ling
Department of Basic Education
,
Chengdu Textile College
,
Chengdu 611731
,
297467325@qq.com
ZHOU Jia
Institute of Information Technology
,
Jilin Agriculture University
,
Changchun 130118
,
china
330989050@qq.com
CHEN Liangyun
School of Mathematics and Statistics
,
Northeast Normal University
,
Changchun 130024
,
china
chenly640@nenu.edu.cn
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中文摘要
:
证明了有限维Jordan李代数的Engel定理,并应用它得到了Jordan李代数的Cartan子代数的若干性质.
英文摘要
:
The authors prove Engel’s theorem of Jordan Lie algebra and apply it to get some properties of Cartan subalgebras on Jordan Lie algebra.
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